Posted by **Anonymous** on Wednesday, November 2, 2011 at 4:17pm.

Answer the following questions for the function

f(x) = sin^2(x/3)

defined on the interval [ -9.424778, 2.356194].

Rememer that you can enter pi for \pi as part of your answer.

a.) f(x) is concave down on the interval .

b.) A global minimum for this function occurs at .

c.) A local maximum for this function which is not a global

maximum occurs at .

d.) The function is increasing on the region .

- Calculus -
**Steve**, Wednesday, November 2, 2011 at 4:56pm
We went through this already:

Posted by Anonymous on Tuesday, November 1, 2011 at 1:53pm.

f(x) = sin^2(x/2)

defined on the interval [ -5.683185, 1.270796].

Take a look at that one for the method.

- Calculus -
**Anonymous**, Wednesday, November 2, 2011 at 5:11pm
i cant see how you figure that out

- Calculus -
**Anonymous**, Wednesday, November 2, 2011 at 6:31pm
I cant find the interval in which it concaves down, and that's the only question i need.

- Calculus -
**Steve**, Thursday, November 3, 2011 at 2:16pm
f = sin^2(x/3)

f' = 2/3 sin(x/3)cos(x/3) = 1/3 sin(2x/3)

f'' = 2/9 cos(2x/3)

f is concave down when f'' < 0

so, where is cos(2x/3) < 0?

When pi/2 < 2x/3 < 3pi/2

or 3pi/4 < x < 9pi/4

Your interval appears to be about (-3pi/2,pi/2), so you may have to adjust your answer a bit to fit the interval.

## Answer this Question

## Related Questions

- Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...
- Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...
- Math: Calculus - Answer the following questions for the function f(x)=sin(x/4)^...
- math - Answer the following questions for the function f(x)=sin^2(x/5) defined ...
- Calculus - f(x) = sin^2(x/2) defined on the interval [ -5.683185, 1.270796]. ...
- Calc 1 - Consider the following function. f(x) = x^6 ln x (a) Use l'Hospital's ...
- Calc 1 - Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the ...
- Math: Calculus - Answer the following questions for the function f(x) = \frac{ x...
- Calculus - Answer the following questions for the function f(x)=(x^3-9x^2+27x-27...
- Calculus - Let f be the function defined for x >or= to 0 with f(0)=5 and f', ...

More Related Questions